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211210112102020 = 225194312925955453
BaseRepresentation
bin110000000001100000101111…
…101101000110111010000100
31000200211111012212021102120021
4300001200233231012322010
5210140431302144231040
62025112330324344524
762326266321065143
oct6001405755067204
91020744185242507
10211210112102020
1161330784055369
121b831b27245144
1390b10499ac605
143a228a426175a
1519640d682124a
hexc0182fb46e84

211210112102020 has 48 divisors (see below), whose sum is σ = 477743313579840. Its totient is φ = 78176178573696.

The previous prime is 211210112101973. The next prime is 211210112102123. The reversal of 211210112102020 is 20201211012112.

It is a super-2 number, since 2×2112101121020202 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 211210112101985 and 211210112102003.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6462961387 + ... + 6462994066.

It is an arithmetic number, because the mean of its divisors is an integer number (9952985699580).

Almost surely, 2211210112102020 is an apocalyptic number.

211210112102020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211210112102020 is an abundant number, since it is smaller than the sum of its proper divisors (266533201477820).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

211210112102020 is a wasteful number, since it uses less digits than its factorization.

211210112102020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12925955524 (or 12925955522 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 211210112102020 its reverse (20201211012112), we get a palindrome (231411323114132).

The spelling of 211210112102020 in words is "two hundred eleven trillion, two hundred ten billion, one hundred twelve million, one hundred two thousand, twenty".

Divisors: 1 2 4 5 10 19 20 38 43 76 86 95 172 190 215 380 430 817 860 1634 3268 4085 8170 16340 12925955453 25851910906 51703821812 64629777265 129259554530 245593153607 258519109060 491186307214 555816084479 982372614428 1111632168958 1227965768035 2223264337916 2455931536070 2779080422395 4911863072140 5558160844790 10560505605101 11116321689580 21121011210202 42242022420404 52802528025505 105605056051010 211210112102020